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41063136 = 253521821
BaseRepresentation
bin1001110010100…
…1001011100000
32212021020000220
42130221023200
541003010021
64024043040
71006013412
oct234511340
985236026
1041063136
11211a7384
1211903480
13867971a
14564c9b2
153911cc6
hex27292e0

41063136 has 48 divisors (see below), whose sum is σ = 108129168. Its totient is φ = 13644800.

The previous prime is 41063117. The next prime is 41063167. The reversal of 41063136 is 63136014.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×410631362 = 3372362276308992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49606 + ... + 50426.

It is an arithmetic number, because the mean of its divisors is an integer number (2252691).

Almost surely, 241063136 is an apocalyptic number.

It is an amenable number.

41063136 is an abundant number, since it is smaller than the sum of its proper divisors (67066032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41063136 is a wasteful number, since it uses less digits than its factorization.

41063136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 41063136 is about 6408.0524342424. The cubic root of 41063136 is about 344.9986305344.

It can be divided in two parts, 410 and 63136, that added together give a triangular number (63546 = T356).

The spelling of 41063136 in words is "forty-one million, sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 521 821 1042 1563 1642 2084 2463 3126 3284 4168 4926 6252 6568 8336 9852 12504 13136 16672 19704 25008 26272 39408 50016 78816 427741 855482 1283223 1710964 2566446 3421928 5132892 6843856 10265784 13687712 20531568 41063136